What is the Least Common Multiple of 65945 and 65965?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65945 and 65965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65945 and 65965, than apply into the LCM equation.

GCF(65945,65965) = 5
LCM(65945,65965) = ( 65945 × 65965) / 5
LCM(65945,65965) = 4350061925 / 5
LCM(65945,65965) = 870012385

Least Common Multiple (LCM) of 65945 and 65965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65945 and 65965. First we will calculate the prime factors of 65945 and 65965.

Prime Factorization of 65945

Prime Factorization of 65965

Now multiplying the highest exponent prime factors to calculate the LCM of 65945 and 65965.

LCM(65945,65965) = 5¹ × 11² × 109¹ × 79¹ × 167¹
LCM(65945,65965) = 870012385